Continuum discretization methods in a composite particle scattering off a nucleus: Benchmark calculations

Rubtsova, O. A.; Kukulin, V. I.; Moro, A. M.

doi:10.1103/physrevc.78.034603

Cited by 22 publications

(36 citation statements)

References 33 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Different choices of weight function lead to different sets of WPs. In our previous calculations [14][15][16][17], we used two types of these states:…”

Section: Epj Web Of Conferencesmentioning

confidence: 99%

“…So, two type of basis functions are very close one to another. It is rather convenient to use energy WPs for spectral expansions of the operators, while the momentum ones have analytical expressions and are very useful in calculation of interaction potential matrix elements [14][15][16][17]. In the Fig.1 coordinate behaviors of the free momentum packets (for angular momentum L = 0)…”

Section: Epj Web Of Conferencesmentioning

confidence: 99%

“…Few years ago the present authors have developed a new approach to solving few-body scattering problems based on the complete discretization of few-body continuous spectrum [14][15][16][17]. We constructed universal formalism for such a discretization, which uses the stationary wave packets, i.e.…”

Section: Introductionmentioning

confidence: 99%

“…In such an approach, finite-dimensional (f.-d.) approximations for basic scattering-theory operators have been obtained and matrix analogs for the scattering equations have been constructed. The approach have recently been tested for the elastic scattering and breakup of a composite projectiles scattered off heavy targets (with neglecting the stripping processes), where a perfect agreement with the conventional Continuum Discretized Coupled Channel method (CDCC) method have been found [14]. Further, the method has been successfully applied to the solution of the Fada e-mail: rubtsova-olga@yandex.ru deev equations for n − d scattering above the three-nucleon breakup threshold [16].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Solving few-body scattering problems in the momentum lattice basis

Rubtsova

Kukulin

Pomerantsev

2010

EPJ Web of Conferences

View full text Add to dashboard Cite

Abstract. The brief description of a new approach based on the Wave-Packet Continuum Discretization method recently developed by the present authors towards solving few-body quantum scattering problems is given. The formalism uses the complete continuum discretization scheme in terms of the momentum stationary wave-packet basis, which leads to formulation of the scattering problem on a lattice in the momentum space. The solution of the few-body scattering problem can be found in the approach from linear matrix equations with non-singular matrix elements, averaged on energy over lattice cells.

show abstract

“…Different choices of weight function lead to different sets of WPs. In our previous calculations [14][15][16][17], we used two types of these states:…”

Section: Epj Web Of Conferencesmentioning

confidence: 99%

Section: Epj Web Of Conferencesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Solving few-body scattering problems in the momentum lattice basis

Rubtsova

Kukulin

Pomerantsev

2010

EPJ Web of Conferences

View full text Add to dashboard Cite

show abstract

“…Takagi treated the channels associated with the discretized levels as dissociation ones. The wave-packet continuum discretization method was also used for solving the scattering of a composite particle on a target nucleus [35,36]. In this approach, two different electronic couplings are accomplished.…”

Section: Basic Equationsmentioning

confidence: 99%

Dissociative excitation of HD +, D 2+, and DT + by electron impact

Duca

Fifirig

2009

Open Physics

View full text Add to dashboard Cite

Abstract:In the framework of the Multi-Channel Quantum Defect Theory (MQDT), a theoretical study of the dissociative excitation is presented. Numerical results for the dissociative excitation cross sections of HD + , D + 2 , and DT + with electrons of energy between 2 and 12 eV are reported. The contribution of the vibrational continua of the two lowest electronic states as explicit ionization channels has been considered. Within a quasi-diabatic representation of the molecular electronic states, the Born expansion of second order is done in the K-matrix evaluation.

show abstract

Breakup Reaction Models for Two- and Three-Cluster Projectiles

Baye

Capel

2012

Clusters in Nuclei, Vol.2

107

View full text Add to dashboard Cite

Breakup reactions are one of the main tools for the study of exotic nuclei, and in particular of their continuum. In order to get valuable information from measurements, a precise reaction model coupled to a fair description of the projectile is needed. We assume that the projectile initially possesses a cluster structure, which is revealed by the dissociation process. This structure is described by a few-body Hamiltonian involving effective forces between the clusters. Within this assumption, we review various reaction models. In semiclassical models, the projectile-target relative motion is described by a classical trajectory and the reaction properties are deduced by solving a time-dependent Schrödinger equation. We then describe the principle and variants of the eikonal approximation: the dynamical eikonal approximation, the standard eikonal approximation, and a corrected version avoiding Coulomb divergence. Finally, we present the continuum-discretized coupled-channel method (CDCC), in which the Schrödinger equation is solved with the projectile continuum approximated by square-integrable states. These models are first illustrated by applications to two-cluster projectiles for studies of nuclei far from stability and of reactions useful in astrophysics. Recent extensions to threecluster projectiles, like two-neutron halo nuclei, are then presented and discussed. We end this review with some views of the future in breakup-reaction theory. D. Baye Physique Quantique, C.P. 165/82 and Physique Nucléaire Théorique et Physique Mathématique, C.P. 229, Université Libre de Bruxelles,

show abstract

Continuum discretization methods in a composite particle scattering off a nucleus: Benchmark calculations

Cited by 22 publications

References 33 publications

Solving few-body scattering problems in the momentum lattice basis

Solving few-body scattering problems in the momentum lattice basis

Dissociative excitation of HD +, D 2+, and DT + by electron impact

Breakup Reaction Models for Two- and Three-Cluster Projectiles

Contact Info

Product

Resources

About